Proving Properties of Parallel Lines Cut by a Transversal

1.____________

• ∠1 ≅ ∠7

• 𝒑 ∥ 𝒒, transversal m

2. ___________

• Vertical angles are congruent

• Corresponding angles are congruent

3. ___________

• ∠3 ≅ ∠5

• ∠3 ≅ ∠6

4. ___________

• Alternate Interior angles are congruent

• Corresponding angles are congruent

6. ___________

• ∠1 ≅ ∠7

• ∠6 ≅ ∠7

6. ___________

• Substitution Property of Equality

• Transitive Property of Congruence

What can be said about the alternate interior angles if two parallel lines are cut by a transversal?

• complementary

• parallel

• congruent

• perpendicular

What do you call those two coplanar lines that do not intersect?

• supplementary

• parallel

• perpendicular

• congruent

1. _______

• Alternate Exterior angles are congruent.

• Alternate Interior angles are congruent.

2. _______

• Same-side exterior angles are supplementary.

• Same-side interior angles are supplementary.